Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. perpendicular to $4 y=x-4$ and passes through the point $(-2,1)$

Step 1 ：Find the slope of the given line. The slope of the line \(4y = x - 4\) is \(\frac{1}{4}\).

Step 2 ：The slope of a line perpendicular to this line is the negative reciprocal of \(\frac{1}{4}\), which is \(-4\).

Step 3 ：Use the point-slope formula to find the equation of the line. The point-slope formula is \(y - y_1 = m(x - x_1)\), where \((x_1, y_1)\) is a point on the line and \(m\) is the slope of the line. In this case, \((x_1, y_1) = (-2, 1)\) and \(m = -4\).

Step 4 ：Rearrange the equation to the slope-intercept form, which is \(y = mx + b\).

Step 5 ：The equation of the line in slope-intercept form is \(\boxed{y = -4x - 7}\).